Finding the Fourth Proportional to 120.13, 180.23 and 47.99
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Solution
The fourth proportional to 120.13, 180.23 and 47.99 is: 72.00
Step by Step Solution
- Step 1: Write the proportion equation
120.13 : 180.23 = 47.99 : x - Step 2: Convert to fraction form
120.13/180.23 = 47.99/x - Step 3: Cross multiply
120.13x = 180.23 × 47.99 - Step 4: Simplify right side
120.13x = 8,649.24 - Step 5: Solve for x
x = 8,649.24/120.13 - Step 6: Final answer
x = 72.00
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.